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Finding the Fourth Proportional to 2,596.65, 3,894.43 and 747.89

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Solution

The fourth proportional to 2,596.65, 3,894.43 and 747.89 is: 1,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.65 : 3,894.43 = 747.89 : x
  2. Step 2: Convert to fraction form
    2,596.65/3,894.43 = 747.89/x
  3. Step 3: Cross multiply
    2,596.65x = 3,894.43 × 747.89
  4. Step 4: Simplify right side
    2,596.65x = 2,912,605.25
  5. Step 5: Solve for x
    x = 2,912,605.25/2,596.65
  6. Step 6: Final answer
    x = 1,121.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.